11668000000 has 126 divisors (see below), whose sum is σ = 29122635038. Its totient is φ = 4665600000.

The previous prime is 11667999961. The next prime is 11668000009. The reversal of 11668000000 is 86611.

11668000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 10361611264 + 1306388736 = 101792^2 + 36144^2 .

It is a super-2 number, since 2×11668000000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11668000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3998542 + ... + 4001458.

Almost surely, 2^11668000000 is an apocalyptic number.

11668000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11668000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561317519).

11668000000 is an abundant number, since it is smaller than the sum of its proper divisors (17454635038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11668000000 is an frugal number, since it uses more digits than its factorization.

11668000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11668000000 its reverse (86611), we get a palindrome (11668086611).

The spelling of 11668000000 in words is "eleven billion, six hundred sixty-eight million", and thus it is an aban number.